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Finding the Fourth Proportional to 6,556.17, 9,828.03 and 2,171.25

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Solution

The fourth proportional to 6,556.17, 9,828.03 and 2,171.25 is: 3,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.17 : 9,828.03 = 2,171.25 : x
  2. Step 2: Convert to fraction form
    6,556.17/9,828.03 = 2,171.25/x
  3. Step 3: Cross multiply
    6,556.17x = 9,828.03 × 2,171.25
  4. Step 4: Simplify right side
    6,556.17x = 21,339,110.14
  5. Step 5: Solve for x
    x = 21,339,110.14/6,556.17
  6. Step 6: Final answer
    x = 3,254.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.